137221500 has 192 divisors, whose sum is σ = 446164992. Its totient is φ = 32544000.

The previous prime is 137221457. The next prime is 137221523. The reversal of 137221500 is 5122731.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 604387 + ... + 604613.

It is an arithmetic number, because the mean of its divisors is an integer number (2323776).

Almost surely, 2^137221500 is an apocalyptic number.

137221500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137221500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223082496).

137221500 is an abundant number, since it is smaller than the sum of its proper divisors (308943492).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137221500 is a wasteful number, since it uses less digits than its factorization.

137221500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 137221500 is about 11714.1581003502. The cubic root of 137221500 is about 515.7913494492.

The spelling of 137221500 in words is "one hundred thirty-seven million, two hundred twenty-one thousand, five hundred".